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Comptes Rendus Mathématique
Volume 336, n° 9
pages 785-790 (mai 2003)
Doi : 10.1016/S1631-073X(03)00185-7
Received : 12 Mars 2003 ;  accepted : 12 Mars 2003
Binary quantum collision operators conserving mass momentum and energy

Pierre  Degond a ,  Christian  Ringhofer b
aMIP (UMR CNRS 5640), Université Paul Sabatier, 118, route de Narbonne, 31062 Toulouse cedex 4, France 
bDepartment of Mathematics, Arizona State University, Tempe, AZ 85287-1804, USA 


In this Note, we generalize the Boltzmann collision operator modeling binary particle-particle collisions to a quantum framework using nonlocal quantum entropy principles. To cite this article: P. Degond, C. Ringhofer, C. R. Acad. Sci. Paris, Ser. I 336 (2003).


Dans cette Note, nous généralisons l'opérateur de collision de Boltzmann modélisant les collisions binaires particule-particule au cadre quantique, en utilisant un principe non-local de minimisation d'entropie quantique. Pour citer cet article : P. Degond, C. Ringhofer, C. R. Acad. Sci. Paris, Ser. I 336 (2003).

© 2003  Académie des sciences@@#104156@@

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